Finding the Fourth Proportional to 106,534.25, 159,649.12 and 78,232.31
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Solution
The fourth proportional to 106,534.25, 159,649.12 and 78,232.31 is: 117,236.66
Step by Step Solution
- Step 1: Write the proportion equation
106,534.25 : 159,649.12 = 78,232.31 : x - Step 2: Convert to fraction form
106,534.25/159,649.12 = 78,232.31/x - Step 3: Cross multiply
106,534.25x = 159,649.12 × 78,232.31 - Step 4: Simplify right side
106,534.25x = 12,489,719,447.07 - Step 5: Solve for x
x = 12,489,719,447.07/106,534.25 - Step 6: Final answer
x = 117,236.66
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Why These Related Problems?
These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.